Permutation Vs Combination - Practice Questions & MCQ

All the five-digit numbers having property   are arranged in the increasing order of their magnitude. The number in the list does not contain the digit:

A seven-digit number is in the form of abcdefg (g, f, e,..... etc. are digits at units, tens, hundred places....etc), where  a, b, c, e, f, g are different digits. The number of such numbers is:

is equal to

If ,then the ratio  is :

A 5-digit number is to be formed using the digits 0-9, where repetition is allowed. How many different numbers can be formed if the number must be divisible by 3 and have exactly 2 odd digits?

The number of ways of factoring 91,000 into two factors, and ,such that  and  is

The product of first odd natural numbers equals

The product of consecutive natural number is always divisible by

The number of five digit numbers that contain 7 exactly once is